Yang-Baxter Equations, Computational Methods and Applications
Florin F. Nichita

TL;DR
This paper reviews recent advances in solving and classifying Yang-Baxter equations, introduces new set-theoretical solutions, and discusses their applications across various mathematical and computational contexts.
Contribution
It presents new set-theoretical solutions to the Yang-Baxter equation and offers unification theories and results that advance understanding of these equations.
Findings
Constructed new set-theoretical solutions
Proposed unification theories
Reviewed recent developments and applications
Abstract
Computational methods are an important tool for solving the Yang-Baxter equations(in small dimensions), for classifying (unifying) structures, and for solving related problems. This paper is an account of some of the latest developments on the Yang-Baxter equation, its set-theoretical version, and its applications. We construct new set-theoretical solutions for the Yang-Baxter equation. Unification theories and other results are proposed or proved.
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